R version 2.15.2 (2012-10-26) -- "Trick or Treat" Copyright (C) 2012 The R Foundation for Statistical Computing ISBN 3-900051-07-0 Platform: i686-pc-linux-gnu (32-bit) R is free software and comes with ABSOLUTELY NO WARRANTY. You are welcome to redistribute it under certain conditions. Type 'license()' or 'licence()' for distribution details. R is a collaborative project with many contributors. Type 'contributors()' for more information and 'citation()' on how to cite R or R packages in publications. Type 'demo()' for some demos, 'help()' for on-line help, or 'help.start()' for an HTML browser interface to help. Type 'q()' to quit R. > x <- array(list(1 + ,26 + ,21 + ,21 + ,23 + ,23 + ,4 + ,1 + ,20 + ,16 + ,15 + ,24 + ,20 + ,4 + ,1 + ,19 + ,19 + ,18 + ,22 + ,20 + ,6 + ,2 + ,19 + ,18 + ,11 + ,20 + ,21 + ,8 + ,1 + ,20 + ,16 + ,8 + ,24 + ,24 + ,8 + ,1 + ,25 + ,23 + ,19 + ,27 + ,22 + ,4 + ,2 + ,25 + ,17 + ,4 + ,28 + ,23 + ,4 + ,1 + ,22 + ,12 + ,20 + ,27 + ,20 + ,8 + ,1 + ,26 + ,19 + ,16 + ,24 + ,25 + ,5 + ,1 + ,22 + ,16 + ,14 + ,23 + ,23 + ,4 + ,2 + ,17 + ,19 + ,10 + ,24 + ,27 + ,4 + ,2 + ,22 + ,20 + ,13 + ,27 + ,27 + ,4 + ,1 + ,19 + ,13 + ,14 + ,27 + ,22 + ,4 + ,1 + ,24 + ,20 + ,8 + ,28 + ,24 + ,4 + ,1 + ,26 + ,27 + ,23 + ,27 + ,25 + ,4 + ,2 + ,21 + ,17 + ,11 + ,23 + ,22 + ,8 + ,1 + ,13 + ,8 + ,9 + ,24 + ,28 + ,4 + ,2 + ,26 + ,25 + ,24 + ,28 + ,28 + ,4 + ,2 + ,20 + ,26 + ,5 + ,27 + ,27 + ,4 + ,1 + ,22 + ,13 + ,15 + ,25 + ,25 + ,8 + ,2 + ,14 + ,19 + ,5 + ,19 + ,16 + ,4 + ,1 + ,21 + ,15 + ,19 + ,24 + ,28 + ,7 + ,1 + ,7 + ,5 + ,6 + ,20 + ,21 + ,4 + ,2 + ,23 + ,16 + ,13 + ,28 + ,24 + ,4 + ,1 + ,17 + 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,28 + ,25 + ,4 + ,2 + ,23 + ,20 + ,17 + ,26 + ,25 + ,5 + ,1 + ,25 + ,23 + ,22 + ,23 + ,22 + ,4 + ,1 + ,20 + ,13 + ,11 + ,26 + ,24 + ,6 + ,2 + ,17 + ,18 + ,15 + ,20 + ,21 + ,4 + ,2 + ,23 + ,23 + ,17 + ,22 + ,22 + ,4 + ,1 + ,16 + ,19 + ,15 + ,20 + ,23 + ,7 + ,2 + ,23 + ,23 + ,22 + ,23 + ,22 + ,7 + ,2 + ,11 + ,12 + ,9 + ,22 + ,20 + ,10 + ,2 + ,18 + ,16 + ,13 + ,24 + ,23 + ,4 + ,2 + ,24 + ,23 + ,20 + ,23 + ,25 + ,5 + ,1 + ,23 + ,13 + ,14 + ,22 + ,23 + ,8 + ,1 + ,21 + ,22 + ,14 + ,26 + ,22 + ,11 + ,2 + ,16 + ,18 + ,12 + ,23 + ,25 + ,7 + ,2 + ,24 + ,23 + ,20 + ,27 + ,26 + ,4 + ,1 + ,23 + ,20 + ,20 + ,23 + ,22 + ,8 + ,1 + ,18 + ,10 + ,8 + ,21 + ,24 + ,6 + ,1 + ,20 + ,17 + ,17 + ,26 + ,24 + ,7 + ,1 + ,9 + ,18 + ,9 + ,23 + ,25 + ,5 + ,2 + ,24 + ,15 + ,18 + ,21 + ,20 + ,4 + ,1 + ,25 + ,23 + ,22 + ,27 + ,26 + ,8 + ,1 + ,20 + ,17 + ,10 + ,19 + ,21 + ,4 + ,2 + ,21 + ,17 + ,13 + ,23 + ,26 + ,8 + ,2 + ,25 + ,22 + ,15 + ,25 + ,21 + ,6 + ,2 + ,22 + ,20 + ,18 + ,23 + ,22 + ,4 + ,2 + ,21 + ,20 + ,18 + ,22 + ,16 + ,9 + ,1 + ,21 + ,19 + ,12 + ,22 + ,26 + ,5 + ,1 + ,22 + ,18 + ,12 + ,25 + ,28 + ,6 + ,1 + ,27 + ,22 + ,20 + ,25 + ,18 + ,4 + ,2 + ,24 + ,20 + ,12 + ,28 + ,25 + ,4 + ,2 + ,24 + ,22 + ,16 + ,28 + ,23 + ,4 + ,2 + ,21 + ,18 + ,16 + ,20 + ,21 + ,5 + ,1 + ,18 + ,16 + ,18 + ,25 + ,20 + ,6 + ,1 + ,16 + ,16 + ,16 + ,19 + ,25 + ,16 + ,1 + ,22 + ,16 + ,13 + ,25 + ,22 + ,6 + ,1 + ,20 + ,16 + ,17 + ,22 + ,21 + ,6 + ,2 + ,18 + ,17 + ,13 + ,18 + ,16 + ,4 + ,1 + ,20 + ,18 + ,17 + ,20 + ,18 + ,4) + ,dim=c(7 + ,162) + ,dimnames=list(c('G' + ,'I1' + ,'I2' + ,'I3' + ,'E1' + ,'E3' + ,'A') + ,1:162)) > y <- array(NA,dim=c(7,162),dimnames=list(c('G','I1','I2','I3','E1','E3','A'),1:162)) > for (i in 1:dim(x)[1]) + { + for (j in 1:dim(x)[2]) + { + y[i,j] <- as.numeric(x[i,j]) + } + } > par3 = 'Linear Trend' > par2 = 'Do not include Seasonal Dummies' > par1 = '7' > library(lattice) > library(lmtest) Loading required package: zoo Attaching package: 'zoo' The following object(s) are masked from 'package:base': as.Date, as.Date.numeric > n25 <- 25 #minimum number of obs. for Goldfeld-Quandt test > par1 <- as.numeric(par1) > x <- t(y) > k <- length(x[1,]) > n <- length(x[,1]) > x1 <- cbind(x[,par1], x[,1:k!=par1]) > mycolnames <- c(colnames(x)[par1], colnames(x)[1:k!=par1]) > colnames(x1) <- mycolnames #colnames(x)[par1] > x <- x1 > if (par3 == 'First Differences'){ + x2 <- array(0, dim=c(n-1,k), dimnames=list(1:(n-1), paste('(1-B)',colnames(x),sep=''))) + for (i in 1:n-1) { + for (j in 1:k) { + x2[i,j] <- x[i+1,j] - x[i,j] + } + } + x <- x2 + } > if (par2 == 'Include Monthly Dummies'){ + x2 <- array(0, dim=c(n,11), dimnames=list(1:n, paste('M', seq(1:11), sep =''))) + for (i in 1:11){ + x2[seq(i,n,12),i] <- 1 + } + x <- cbind(x, x2) + } > if (par2 == 'Include Quarterly Dummies'){ + x2 <- array(0, dim=c(n,3), dimnames=list(1:n, paste('Q', seq(1:3), sep =''))) + for (i in 1:3){ + x2[seq(i,n,4),i] <- 1 + } + x <- cbind(x, x2) + } > k <- length(x[1,]) > if (par3 == 'Linear Trend'){ + x <- cbind(x, c(1:n)) + colnames(x)[k+1] <- 't' + } > x A G I1 I2 I3 E1 E3 t 1 4 1 26 21 21 23 23 1 2 4 1 20 16 15 24 20 2 3 6 1 19 19 18 22 20 3 4 8 2 19 18 11 20 21 4 5 8 1 20 16 8 24 24 5 6 4 1 25 23 19 27 22 6 7 4 2 25 17 4 28 23 7 8 8 1 22 12 20 27 20 8 9 5 1 26 19 16 24 25 9 10 4 1 22 16 14 23 23 10 11 4 2 17 19 10 24 27 11 12 4 2 22 20 13 27 27 12 13 4 1 19 13 14 27 22 13 14 4 1 24 20 8 28 24 14 15 4 1 26 27 23 27 25 15 16 8 2 21 17 11 23 22 16 17 4 1 13 8 9 24 28 17 18 4 2 26 25 24 28 28 18 19 4 2 20 26 5 27 27 19 20 8 1 22 13 15 25 25 20 21 4 2 14 19 5 19 16 21 22 7 1 21 15 19 24 28 22 23 4 1 7 5 6 20 21 23 24 4 2 23 16 13 28 24 24 25 5 1 17 14 11 26 27 25 26 4 1 25 24 17 23 14 26 27 4 1 25 24 17 23 14 27 28 4 1 19 9 5 20 27 28 29 4 2 20 19 9 11 20 29 30 4 1 23 19 15 24 21 30 31 4 2 22 25 17 25 22 31 32 4 1 22 19 17 23 21 32 33 15 1 21 18 20 18 12 33 34 10 2 15 15 12 20 20 34 35 4 2 20 12 7 20 24 35 36 8 2 22 21 16 24 19 36 37 4 1 18 12 7 23 28 37 38 4 2 20 15 14 25 23 38 39 4 2 28 28 24 28 27 39 40 4 1 22 25 15 26 22 40 41 7 1 18 19 15 26 27 41 42 4 1 23 20 10 23 26 42 43 6 1 20 24 14 22 22 43 44 5 2 25 26 18 24 21 44 45 4 2 26 25 12 21 19 45 46 16 1 15 12 9 20 24 46 47 5 2 17 12 9 22 19 47 48 12 2 23 15 8 20 26 48 49 6 1 21 17 18 25 22 49 50 9 2 13 14 10 20 28 50 51 9 1 18 16 17 22 21 51 52 4 1 19 11 14 23 23 52 53 5 1 22 20 16 25 28 53 54 4 1 16 11 10 23 10 54 55 4 2 24 22 19 23 24 55 56 5 1 18 20 10 22 21 56 57 4 1 20 19 14 24 21 57 58 4 1 24 17 10 25 24 58 59 4 2 14 21 4 21 24 59 60 5 2 22 23 19 12 25 60 61 4 1 24 18 9 17 25 61 62 6 1 18 17 12 20 23 62 63 4 1 21 27 16 23 21 63 64 4 2 23 25 11 23 16 64 65 18 1 17 19 18 20 17 65 66 4 2 22 22 11 28 25 66 67 6 2 24 24 24 24 24 67 68 4 2 21 20 17 24 23 68 69 4 1 22 19 18 24 25 69 70 5 1 16 11 9 24 23 70 71 4 1 21 22 19 28 28 71 72 4 2 23 22 18 25 26 72 73 5 2 22 16 12 21 22 73 74 10 1 24 20 23 25 19 74 75 5 1 24 24 22 25 26 75 76 8 1 16 16 14 18 18 76 77 8 1 16 16 14 17 18 77 78 5 2 21 22 16 26 25 78 79 4 2 26 24 23 28 27 79 80 4 2 15 16 7 21 12 80 81 4 2 25 27 10 27 15 81 82 5 1 18 11 12 22 21 82 83 4 0 23 21 12 21 23 83 84 4 1 20 20 12 25 22 84 85 8 2 17 20 17 22 21 85 86 4 2 25 27 21 23 24 86 87 5 1 24 20 16 26 27 87 88 14 1 17 12 11 19 22 88 89 8 1 19 8 14 25 8 89 90 8 1 20 21 13 21 26 90 91 4 1 15 18 9 13 10 91 92 4 2 27 24 19 24 19 92 93 6 1 22 16 13 25 22 93 94 4 1 23 18 19 26 21 94 95 7 1 16 20 13 25 24 95 96 7 1 19 20 13 25 25 96 97 4 2 25 19 13 22 21 97 98 6 1 19 17 14 21 20 98 99 4 2 19 16 12 23 21 99 100 7 2 26 26 22 25 24 100 101 4 1 21 15 11 24 23 101 102 4 2 20 22 5 21 18 102 103 8 1 24 17 18 21 24 103 104 4 1 22 23 19 25 24 104 105 4 2 20 21 14 22 19 105 106 10 1 18 19 15 20 20 106 107 8 2 18 14 12 20 18 107 108 6 1 24 17 19 23 20 108 109 4 1 24 12 15 28 27 109 110 4 1 22 24 17 23 23 110 111 4 1 23 18 8 28 26 111 112 5 1 22 20 10 24 23 112 113 4 1 20 16 12 18 17 113 114 6 1 18 20 12 20 21 114 115 4 1 25 22 20 28 25 115 116 5 2 18 12 12 21 23 116 117 7 1 16 16 12 21 27 117 118 8 1 20 17 14 25 24 118 119 5 2 19 22 6 19 20 119 120 8 1 15 12 10 18 27 120 121 10 1 19 14 18 21 21 121 122 8 1 19 23 18 22 24 122 123 5 1 16 15 7 24 21 123 124 12 1 17 17 18 15 15 124 125 4 1 28 28 9 28 25 125 126 5 2 23 20 17 26 25 126 127 4 1 25 23 22 23 22 127 128 6 1 20 13 11 26 24 128 129 4 2 17 18 15 20 21 129 130 4 2 23 23 17 22 22 130 131 7 1 16 19 15 20 23 131 132 7 2 23 23 22 23 22 132 133 10 2 11 12 9 22 20 133 134 4 2 18 16 13 24 23 134 135 5 2 24 23 20 23 25 135 136 8 1 23 13 14 22 23 136 137 11 1 21 22 14 26 22 137 138 7 2 16 18 12 23 25 138 139 4 2 24 23 20 27 26 139 140 8 1 23 20 20 23 22 140 141 6 1 18 10 8 21 24 141 142 7 1 20 17 17 26 24 142 143 5 1 9 18 9 23 25 143 144 4 2 24 15 18 21 20 144 145 8 1 25 23 22 27 26 145 146 4 1 20 17 10 19 21 146 147 8 2 21 17 13 23 26 147 148 6 2 25 22 15 25 21 148 149 4 2 22 20 18 23 22 149 150 9 2 21 20 18 22 16 150 151 5 1 21 19 12 22 26 151 152 6 1 22 18 12 25 28 152 153 4 1 27 22 20 25 18 153 154 4 2 24 20 12 28 25 154 155 4 2 24 22 16 28 23 155 156 5 2 21 18 16 20 21 156 157 6 1 18 16 18 25 20 157 158 16 1 16 16 16 19 25 158 159 6 1 22 16 13 25 22 159 160 6 1 20 16 17 22 21 160 161 4 2 18 17 13 18 16 161 162 4 1 20 18 17 20 18 162 > k <- length(x[1,]) > df <- as.data.frame(x) > (mylm <- lm(df)) Call: lm(formula = df) Coefficients: (Intercept) G I1 I2 I3 E1 13.102181 -0.461749 -0.203536 -0.088062 0.195213 -0.169902 E3 t 0.003692 0.002781 > (mysum <- summary(mylm)) Call: lm(formula = df) Residuals: Min 1Q Median 3Q Max -4.6901 -1.4763 -0.5413 1.0292 10.1335 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 13.102181 1.713640 7.646 2.09e-12 *** G -0.461749 0.389202 -1.186 0.237292 I1 -0.203536 0.073062 -2.786 0.006011 ** I2 -0.088062 0.055151 -1.597 0.112374 I3 0.195213 0.049420 3.950 0.000119 *** E1 -0.169902 0.070721 -2.402 0.017477 * E3 0.003692 0.053155 0.069 0.944710 t 0.002781 0.004027 0.691 0.490909 --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1 Residual standard error: 2.357 on 154 degrees of freedom Multiple R-squared: 0.2295, Adjusted R-squared: 0.1945 F-statistic: 6.553 on 7 and 154 DF, p-value: 8.904e-07 > if (n > n25) { + kp3 <- k + 3 + nmkm3 <- n - k - 3 + gqarr <- array(NA, dim=c(nmkm3-kp3+1,3)) + numgqtests <- 0 + numsignificant1 <- 0 + numsignificant5 <- 0 + numsignificant10 <- 0 + for (mypoint in kp3:nmkm3) { + j <- 0 + numgqtests <- numgqtests + 1 + for (myalt in c('greater', 'two.sided', 'less')) { + j <- j + 1 + gqarr[mypoint-kp3+1,j] <- gqtest(mylm, point=mypoint, alternative=myalt)$p.value + } + if (gqarr[mypoint-kp3+1,2] < 0.01) numsignificant1 <- numsignificant1 + 1 + if (gqarr[mypoint-kp3+1,2] < 0.05) numsignificant5 <- numsignificant5 + 1 + if (gqarr[mypoint-kp3+1,2] < 0.10) numsignificant10 <- numsignificant10 + 1 + } + gqarr + } [,1] [,2] [,3] [1,] 0.675003217 0.649993566 0.324996783 [2,] 0.517746121 0.964507758 0.482253879 [3,] 0.430071942 0.860143885 0.569928058 [4,] 0.326198774 0.652397548 0.673801226 [5,] 0.262287098 0.524574195 0.737712902 [6,] 0.204044416 0.408088831 0.795955584 [7,] 0.148841991 0.297683982 0.851158009 [8,] 0.096834944 0.193669888 0.903165056 [9,] 0.060960740 0.121921480 0.939039260 [10,] 0.056075949 0.112151898 0.943924051 [11,] 0.114083984 0.228167968 0.885916016 [12,] 0.083054731 0.166109462 0.916945269 [13,] 0.083148328 0.166296657 0.916851672 [14,] 0.068399297 0.136798593 0.931600703 [15,] 0.047944268 0.095888537 0.952055732 [16,] 0.032697135 0.065394271 0.967302865 [17,] 0.021083038 0.042166077 0.978916962 [18,] 0.023873987 0.047747974 0.976126013 [19,] 0.019958093 0.039916186 0.980041907 [20,] 0.012880419 0.025760837 0.987119581 [21,] 0.008065033 0.016130066 0.991934967 [22,] 0.005233755 0.010467510 0.994766245 [23,] 0.407968218 0.815936436 0.592031782 [24,] 0.459348363 0.918696727 0.540651637 [25,] 0.441838465 0.883676929 0.558161535 [26,] 0.421336887 0.842673775 0.578663113 [27,] 0.374120832 0.748241664 0.625879168 [28,] 0.370876753 0.741753507 0.629123247 [29,] 0.317811821 0.635623642 0.682188179 [30,] 0.269771953 0.539543906 0.730228047 [31,] 0.283413330 0.566826660 0.716586670 [32,] 0.239264047 0.478528094 0.760735953 [33,] 0.206914579 0.413829158 0.793085421 [34,] 0.171507020 0.343014040 0.828492980 [35,] 0.144201115 0.288402229 0.855798885 [36,] 0.800637034 0.398725932 0.199362966 [37,] 0.787231334 0.425537332 0.212768666 [38,] 0.950061655 0.099876690 0.049938345 [39,] 0.937790142 0.124419716 0.062209858 [40,] 0.930511862 0.138976276 0.069488138 [41,] 0.917373914 0.165252173 0.082626086 [42,] 0.935245745 0.129508511 0.064754255 [43,] 0.919523174 0.160953652 0.080476826 [44,] 0.927914096 0.144171808 0.072085904 [45,] 0.923863578 0.152272843 0.076136422 [46,] 0.906192803 0.187614394 0.093807197 [47,] 0.896783982 0.206432036 0.103216018 [48,] 0.874299962 0.251400076 0.125700038 [49,] 0.851567264 0.296865472 0.148432736 [50,] 0.864967865 0.270064270 0.135032135 [51,] 0.845326739 0.309346521 0.154673261 [52,] 0.816260789 0.367478422 0.183739211 [53,] 0.792890376 0.414219248 0.207109624 [54,] 0.758497518 0.483004963 0.241502482 [55,] 0.996369383 0.007261233 0.003630617 [56,] 0.994966190 0.010067619 0.005033810 [57,] 0.993126753 0.013746493 0.006873247 [58,] 0.992090659 0.015818682 0.007909341 [59,] 0.991635682 0.016728635 0.008364318 [60,] 0.989794443 0.020411115 0.010205557 [61,] 0.988449569 0.023100862 0.011550431 [62,] 0.985486873 0.029026254 0.014513127 [63,] 0.980872800 0.038254400 0.019127200 [64,] 0.986097375 0.027805250 0.013902625 [65,] 0.982333578 0.035332845 0.017666422 [66,] 0.976592645 0.046814710 0.023407355 [67,] 0.969381919 0.061236162 0.030618081 [68,] 0.960305961 0.079388079 0.039694039 [69,] 0.951287945 0.097424110 0.048712055 [70,] 0.947077217 0.105845566 0.052922783 [71,] 0.944012969 0.111974062 0.055987031 [72,] 0.940824573 0.118350853 0.059175427 [73,] 0.932964607 0.134070786 0.067035393 [74,] 0.921474289 0.157051423 0.078525711 [75,] 0.906980209 0.186039581 0.093019791 [76,] 0.891423946 0.217152109 0.108576054 [77,] 0.870849008 0.258301984 0.129150992 [78,] 0.973558610 0.052882781 0.026441390 [79,] 0.973915305 0.052169390 0.026084695 [80,] 0.970497012 0.059005976 0.029502988 [81,] 0.977471024 0.045057953 0.022528976 [82,] 0.970836675 0.058326650 0.029163325 [83,] 0.963022582 0.073954836 0.036977418 [84,] 0.959347076 0.081305848 0.040652924 [85,] 0.948880165 0.102239670 0.051119835 [86,] 0.938727051 0.122545897 0.061272949 [87,] 0.923661642 0.152676717 0.076338358 [88,] 0.906190700 0.187618599 0.093809300 [89,] 0.893016503 0.213966994 0.106983497 [90,] 0.887564958 0.224870084 0.112435042 [91,] 0.872336594 0.255326812 0.127663406 [92,] 0.846439678 0.307120644 0.153560322 [93,] 0.828247500 0.343505000 0.171752500 [94,] 0.823483014 0.353033972 0.176516986 [95,] 0.801192224 0.397615552 0.198807776 [96,] 0.815272298 0.369455403 0.184727702 [97,] 0.811092394 0.377815213 0.188907606 [98,] 0.775374461 0.449251079 0.224625539 [99,] 0.749870557 0.500258887 0.250129443 [100,] 0.738714560 0.522570879 0.261285440 [101,] 0.696843554 0.606312893 0.303156446 [102,] 0.650631237 0.698737525 0.349368763 [103,] 0.654586458 0.690827084 0.345413542 [104,] 0.611002818 0.777994364 0.388997182 [105,] 0.598579029 0.802841942 0.401420971 [106,] 0.567064462 0.865871077 0.432935538 [107,] 0.526029388 0.947941225 0.473970612 [108,] 0.490679650 0.981359301 0.509320350 [109,] 0.441635932 0.883271863 0.558364068 [110,] 0.392241719 0.784483437 0.607758281 [111,] 0.364336648 0.728673295 0.635663352 [112,] 0.316403328 0.632806657 0.683596672 [113,] 0.280241870 0.560483740 0.719758130 [114,] 0.356210285 0.712420570 0.643789715 [115,] 0.331171922 0.662343844 0.668828078 [116,] 0.280819745 0.561639490 0.719180255 [117,] 0.275438145 0.550876290 0.724561855 [118,] 0.230277794 0.460555589 0.769722206 [119,] 0.239743733 0.479487466 0.760256267 [120,] 0.208167042 0.416334084 0.791832958 [121,] 0.180350011 0.360700023 0.819649989 [122,] 0.142288021 0.284576042 0.857711979 [123,] 0.170308839 0.340617678 0.829691161 [124,] 0.149783878 0.299567755 0.850216122 [125,] 0.137143063 0.274286126 0.862856937 [126,] 0.113199186 0.226398371 0.886800814 [127,] 0.366333730 0.732667460 0.633666270 [128,] 0.307297251 0.614594503 0.692702749 [129,] 0.326885756 0.653771511 0.673114244 [130,] 0.269360224 0.538720448 0.730639776 [131,] 0.223384262 0.446768524 0.776615738 [132,] 0.171744145 0.343488290 0.828255855 [133,] 0.245831642 0.491663284 0.754168358 [134,] 0.190967509 0.381935018 0.809032491 [135,] 0.144299140 0.288598281 0.855700860 [136,] 0.119513052 0.239026104 0.880486948 [137,] 0.079905090 0.159810179 0.920094910 [138,] 0.067666960 0.135333921 0.932333040 [139,] 0.107113671 0.214227342 0.892886329 [140,] 0.171951866 0.343903732 0.828048134 [141,] 0.139998193 0.279996386 0.860001807 > postscript(file="/var/wessaorg/rcomp/tmp/1smt71353254418.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(x[,1], type='l', main='Actuals and Interpolation', ylab='value of Actuals and Interpolation (dots)', xlab='time or index') > points(x[,1]-mysum$resid) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/2nr4u1353254418.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > plot(mysum$resid, type='b', pch=19, main='Residuals', ylab='value of Residuals', xlab='time or index') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/3rrle1353254418.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > hist(mysum$resid, main='Residual Histogram', xlab='values of Residuals') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/4wlf41353254418.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > densityplot(~mysum$resid,col='black',main='Residual Density Plot', xlab='values of Residuals') > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/5734k1353254418.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > qqnorm(mysum$resid, main='Residual Normal Q-Q Plot') > qqline(mysum$resid) > grid() > dev.off() null device 1 > (myerror <- as.ts(mysum$resid)) Time Series: Start = 1 End = 162 Frequency = 1 1 2 3 4 5 6 -1.77863926 -2.09068389 -0.95825899 2.43564312 3.25269751 -0.74622653 7 8 9 10 11 12 2.27877935 1.48109572 0.16157517 -1.69162461 -1.05016312 -0.02313694 13 14 15 16 17 18 -1.89145777 1.07367020 -1.00740019 3.22729823 -3.11989851 -0.76650575 19 20 21 22 23 24 1.64040463 2.15358894 -1.52140586 0.15878304 -4.69010476 -0.02423819 25 26 27 28 29 30 -0.84656008 -0.97342257 -0.97620329 -1.73627448 -2.47727907 -1.29744401 31 32 33 34 35 36 -0.73785703 -2.06686996 7.23683193 3.08237234 -1.20561909 2.93237991 37 38 39 40 41 42 -1.58506301 -1.46306483 -0.14995164 -0.66430323 0.97194026 -0.45504849 43 44 45 46 47 48 0.34782562 0.56323908 0.34488978 8.89393972 -0.88175469 7.43042597 49 50 51 52 53 54 -0.35290279 1.90363516 1.63206586 -2.85933136 -0.52803207 -2.64664540 55 56 57 58 59 60 -1.39932485 -0.66309702 -1.78791707 -0.21300083 -0.94547077 -2.60485535 61 62 63 64 65 66 -1.30097849 -0.68158304 -1.45689947 0.22754425 10.13353749 0.57054145 67 68 69 70 71 72 -0.06273396 -1.65818361 -2.20983730 -1.37402241 -1.68142994 -1.12249966 73 74 75 76 77 78 -0.35074721 3.48738230 -0.99378421 0.07258446 -0.10009856 0.01776606 79 80 81 82 83 84 -0.82528613 -1.78197116 1.64198181 -1.91837959 -1.66189888 -1.21829820 85 86 87 88 89 90 1.14798184 -1.23210877 -0.04191079 6.63127641 1.16878652 1.96348736 91 92 93 94 95 96 -3.84044404 -0.52711679 0.61628558 -2.00452087 0.73437333 1.33850704 97 98 99 100 101 102 -0.56431068 -0.78760065 -1.69015589 1.98902608 -1.48072579 0.07117467 103 104 105 106 107 108 1.42055102 -1.97653364 -1.61593923 2.79762617 1.40930919 -0.43399178 109 110 111 112 113 114 -1.27256407 -1.85084167 0.41689580 0.32774468 -2.82204090 -0.55461019 115 116 117 118 119 120 -1.17377551 -1.64040077 -0.17452322 2.02516010 0.27796410 0.14207112 121 122 123 124 125 126 2.09971140 1.04831294 -0.77134177 2.95122430 2.08474183 -0.07997458 127 128 129 130 131 132 -2.34794318 0.40064744 -3.09987179 -1.49544376 -0.69004030 0.69283057 133 134 135 136 137 138 2.65419702 -2.02371262 -0.73262655 1.72745179 5.79345853 0.75214332 139 140 141 142 143 144 -1.06783267 1.33507709 -0.57063044 0.54268511 -2.56261823 -2.39306434 145 146 147 148 149 150 2.26684340 -2.28018354 2.45782725 1.67733838 -2.04130985 2.60462585 151 152 153 154 155 156 -0.81360941 0.80140567 -1.35623196 0.36157185 -0.23855350 -1.55602220 157 158 159 160 161 162 -1.34450492 7.59819408 0.43275780 -1.26396183 -3.00429729 -3.42212689 > postscript(file="/var/wessaorg/rcomp/tmp/67wvn1353254418.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > dum <- cbind(lag(myerror,k=1),myerror) > dum Time Series: Start = 0 End = 162 Frequency = 1 lag(myerror, k = 1) myerror 0 -1.77863926 NA 1 -2.09068389 -1.77863926 2 -0.95825899 -2.09068389 3 2.43564312 -0.95825899 4 3.25269751 2.43564312 5 -0.74622653 3.25269751 6 2.27877935 -0.74622653 7 1.48109572 2.27877935 8 0.16157517 1.48109572 9 -1.69162461 0.16157517 10 -1.05016312 -1.69162461 11 -0.02313694 -1.05016312 12 -1.89145777 -0.02313694 13 1.07367020 -1.89145777 14 -1.00740019 1.07367020 15 3.22729823 -1.00740019 16 -3.11989851 3.22729823 17 -0.76650575 -3.11989851 18 1.64040463 -0.76650575 19 2.15358894 1.64040463 20 -1.52140586 2.15358894 21 0.15878304 -1.52140586 22 -4.69010476 0.15878304 23 -0.02423819 -4.69010476 24 -0.84656008 -0.02423819 25 -0.97342257 -0.84656008 26 -0.97620329 -0.97342257 27 -1.73627448 -0.97620329 28 -2.47727907 -1.73627448 29 -1.29744401 -2.47727907 30 -0.73785703 -1.29744401 31 -2.06686996 -0.73785703 32 7.23683193 -2.06686996 33 3.08237234 7.23683193 34 -1.20561909 3.08237234 35 2.93237991 -1.20561909 36 -1.58506301 2.93237991 37 -1.46306483 -1.58506301 38 -0.14995164 -1.46306483 39 -0.66430323 -0.14995164 40 0.97194026 -0.66430323 41 -0.45504849 0.97194026 42 0.34782562 -0.45504849 43 0.56323908 0.34782562 44 0.34488978 0.56323908 45 8.89393972 0.34488978 46 -0.88175469 8.89393972 47 7.43042597 -0.88175469 48 -0.35290279 7.43042597 49 1.90363516 -0.35290279 50 1.63206586 1.90363516 51 -2.85933136 1.63206586 52 -0.52803207 -2.85933136 53 -2.64664540 -0.52803207 54 -1.39932485 -2.64664540 55 -0.66309702 -1.39932485 56 -1.78791707 -0.66309702 57 -0.21300083 -1.78791707 58 -0.94547077 -0.21300083 59 -2.60485535 -0.94547077 60 -1.30097849 -2.60485535 61 -0.68158304 -1.30097849 62 -1.45689947 -0.68158304 63 0.22754425 -1.45689947 64 10.13353749 0.22754425 65 0.57054145 10.13353749 66 -0.06273396 0.57054145 67 -1.65818361 -0.06273396 68 -2.20983730 -1.65818361 69 -1.37402241 -2.20983730 70 -1.68142994 -1.37402241 71 -1.12249966 -1.68142994 72 -0.35074721 -1.12249966 73 3.48738230 -0.35074721 74 -0.99378421 3.48738230 75 0.07258446 -0.99378421 76 -0.10009856 0.07258446 77 0.01776606 -0.10009856 78 -0.82528613 0.01776606 79 -1.78197116 -0.82528613 80 1.64198181 -1.78197116 81 -1.91837959 1.64198181 82 -1.66189888 -1.91837959 83 -1.21829820 -1.66189888 84 1.14798184 -1.21829820 85 -1.23210877 1.14798184 86 -0.04191079 -1.23210877 87 6.63127641 -0.04191079 88 1.16878652 6.63127641 89 1.96348736 1.16878652 90 -3.84044404 1.96348736 91 -0.52711679 -3.84044404 92 0.61628558 -0.52711679 93 -2.00452087 0.61628558 94 0.73437333 -2.00452087 95 1.33850704 0.73437333 96 -0.56431068 1.33850704 97 -0.78760065 -0.56431068 98 -1.69015589 -0.78760065 99 1.98902608 -1.69015589 100 -1.48072579 1.98902608 101 0.07117467 -1.48072579 102 1.42055102 0.07117467 103 -1.97653364 1.42055102 104 -1.61593923 -1.97653364 105 2.79762617 -1.61593923 106 1.40930919 2.79762617 107 -0.43399178 1.40930919 108 -1.27256407 -0.43399178 109 -1.85084167 -1.27256407 110 0.41689580 -1.85084167 111 0.32774468 0.41689580 112 -2.82204090 0.32774468 113 -0.55461019 -2.82204090 114 -1.17377551 -0.55461019 115 -1.64040077 -1.17377551 116 -0.17452322 -1.64040077 117 2.02516010 -0.17452322 118 0.27796410 2.02516010 119 0.14207112 0.27796410 120 2.09971140 0.14207112 121 1.04831294 2.09971140 122 -0.77134177 1.04831294 123 2.95122430 -0.77134177 124 2.08474183 2.95122430 125 -0.07997458 2.08474183 126 -2.34794318 -0.07997458 127 0.40064744 -2.34794318 128 -3.09987179 0.40064744 129 -1.49544376 -3.09987179 130 -0.69004030 -1.49544376 131 0.69283057 -0.69004030 132 2.65419702 0.69283057 133 -2.02371262 2.65419702 134 -0.73262655 -2.02371262 135 1.72745179 -0.73262655 136 5.79345853 1.72745179 137 0.75214332 5.79345853 138 -1.06783267 0.75214332 139 1.33507709 -1.06783267 140 -0.57063044 1.33507709 141 0.54268511 -0.57063044 142 -2.56261823 0.54268511 143 -2.39306434 -2.56261823 144 2.26684340 -2.39306434 145 -2.28018354 2.26684340 146 2.45782725 -2.28018354 147 1.67733838 2.45782725 148 -2.04130985 1.67733838 149 2.60462585 -2.04130985 150 -0.81360941 2.60462585 151 0.80140567 -0.81360941 152 -1.35623196 0.80140567 153 0.36157185 -1.35623196 154 -0.23855350 0.36157185 155 -1.55602220 -0.23855350 156 -1.34450492 -1.55602220 157 7.59819408 -1.34450492 158 0.43275780 7.59819408 159 -1.26396183 0.43275780 160 -3.00429729 -1.26396183 161 -3.42212689 -3.00429729 162 NA -3.42212689 > dum1 <- dum[2:length(myerror),] > dum1 lag(myerror, k = 1) myerror [1,] -2.09068389 -1.77863926 [2,] -0.95825899 -2.09068389 [3,] 2.43564312 -0.95825899 [4,] 3.25269751 2.43564312 [5,] -0.74622653 3.25269751 [6,] 2.27877935 -0.74622653 [7,] 1.48109572 2.27877935 [8,] 0.16157517 1.48109572 [9,] -1.69162461 0.16157517 [10,] -1.05016312 -1.69162461 [11,] -0.02313694 -1.05016312 [12,] -1.89145777 -0.02313694 [13,] 1.07367020 -1.89145777 [14,] -1.00740019 1.07367020 [15,] 3.22729823 -1.00740019 [16,] -3.11989851 3.22729823 [17,] -0.76650575 -3.11989851 [18,] 1.64040463 -0.76650575 [19,] 2.15358894 1.64040463 [20,] -1.52140586 2.15358894 [21,] 0.15878304 -1.52140586 [22,] -4.69010476 0.15878304 [23,] -0.02423819 -4.69010476 [24,] -0.84656008 -0.02423819 [25,] -0.97342257 -0.84656008 [26,] -0.97620329 -0.97342257 [27,] -1.73627448 -0.97620329 [28,] -2.47727907 -1.73627448 [29,] -1.29744401 -2.47727907 [30,] -0.73785703 -1.29744401 [31,] -2.06686996 -0.73785703 [32,] 7.23683193 -2.06686996 [33,] 3.08237234 7.23683193 [34,] -1.20561909 3.08237234 [35,] 2.93237991 -1.20561909 [36,] -1.58506301 2.93237991 [37,] -1.46306483 -1.58506301 [38,] -0.14995164 -1.46306483 [39,] -0.66430323 -0.14995164 [40,] 0.97194026 -0.66430323 [41,] -0.45504849 0.97194026 [42,] 0.34782562 -0.45504849 [43,] 0.56323908 0.34782562 [44,] 0.34488978 0.56323908 [45,] 8.89393972 0.34488978 [46,] -0.88175469 8.89393972 [47,] 7.43042597 -0.88175469 [48,] -0.35290279 7.43042597 [49,] 1.90363516 -0.35290279 [50,] 1.63206586 1.90363516 [51,] -2.85933136 1.63206586 [52,] -0.52803207 -2.85933136 [53,] -2.64664540 -0.52803207 [54,] -1.39932485 -2.64664540 [55,] -0.66309702 -1.39932485 [56,] -1.78791707 -0.66309702 [57,] -0.21300083 -1.78791707 [58,] -0.94547077 -0.21300083 [59,] -2.60485535 -0.94547077 [60,] -1.30097849 -2.60485535 [61,] -0.68158304 -1.30097849 [62,] -1.45689947 -0.68158304 [63,] 0.22754425 -1.45689947 [64,] 10.13353749 0.22754425 [65,] 0.57054145 10.13353749 [66,] -0.06273396 0.57054145 [67,] -1.65818361 -0.06273396 [68,] -2.20983730 -1.65818361 [69,] -1.37402241 -2.20983730 [70,] -1.68142994 -1.37402241 [71,] -1.12249966 -1.68142994 [72,] -0.35074721 -1.12249966 [73,] 3.48738230 -0.35074721 [74,] -0.99378421 3.48738230 [75,] 0.07258446 -0.99378421 [76,] -0.10009856 0.07258446 [77,] 0.01776606 -0.10009856 [78,] -0.82528613 0.01776606 [79,] -1.78197116 -0.82528613 [80,] 1.64198181 -1.78197116 [81,] -1.91837959 1.64198181 [82,] -1.66189888 -1.91837959 [83,] -1.21829820 -1.66189888 [84,] 1.14798184 -1.21829820 [85,] -1.23210877 1.14798184 [86,] -0.04191079 -1.23210877 [87,] 6.63127641 -0.04191079 [88,] 1.16878652 6.63127641 [89,] 1.96348736 1.16878652 [90,] -3.84044404 1.96348736 [91,] -0.52711679 -3.84044404 [92,] 0.61628558 -0.52711679 [93,] -2.00452087 0.61628558 [94,] 0.73437333 -2.00452087 [95,] 1.33850704 0.73437333 [96,] -0.56431068 1.33850704 [97,] -0.78760065 -0.56431068 [98,] -1.69015589 -0.78760065 [99,] 1.98902608 -1.69015589 [100,] -1.48072579 1.98902608 [101,] 0.07117467 -1.48072579 [102,] 1.42055102 0.07117467 [103,] -1.97653364 1.42055102 [104,] -1.61593923 -1.97653364 [105,] 2.79762617 -1.61593923 [106,] 1.40930919 2.79762617 [107,] -0.43399178 1.40930919 [108,] -1.27256407 -0.43399178 [109,] -1.85084167 -1.27256407 [110,] 0.41689580 -1.85084167 [111,] 0.32774468 0.41689580 [112,] -2.82204090 0.32774468 [113,] -0.55461019 -2.82204090 [114,] -1.17377551 -0.55461019 [115,] -1.64040077 -1.17377551 [116,] -0.17452322 -1.64040077 [117,] 2.02516010 -0.17452322 [118,] 0.27796410 2.02516010 [119,] 0.14207112 0.27796410 [120,] 2.09971140 0.14207112 [121,] 1.04831294 2.09971140 [122,] -0.77134177 1.04831294 [123,] 2.95122430 -0.77134177 [124,] 2.08474183 2.95122430 [125,] -0.07997458 2.08474183 [126,] -2.34794318 -0.07997458 [127,] 0.40064744 -2.34794318 [128,] -3.09987179 0.40064744 [129,] -1.49544376 -3.09987179 [130,] -0.69004030 -1.49544376 [131,] 0.69283057 -0.69004030 [132,] 2.65419702 0.69283057 [133,] -2.02371262 2.65419702 [134,] -0.73262655 -2.02371262 [135,] 1.72745179 -0.73262655 [136,] 5.79345853 1.72745179 [137,] 0.75214332 5.79345853 [138,] -1.06783267 0.75214332 [139,] 1.33507709 -1.06783267 [140,] -0.57063044 1.33507709 [141,] 0.54268511 -0.57063044 [142,] -2.56261823 0.54268511 [143,] -2.39306434 -2.56261823 [144,] 2.26684340 -2.39306434 [145,] -2.28018354 2.26684340 [146,] 2.45782725 -2.28018354 [147,] 1.67733838 2.45782725 [148,] -2.04130985 1.67733838 [149,] 2.60462585 -2.04130985 [150,] -0.81360941 2.60462585 [151,] 0.80140567 -0.81360941 [152,] -1.35623196 0.80140567 [153,] 0.36157185 -1.35623196 [154,] -0.23855350 0.36157185 [155,] -1.55602220 -0.23855350 [156,] -1.34450492 -1.55602220 [157,] 7.59819408 -1.34450492 [158,] 0.43275780 7.59819408 [159,] -1.26396183 0.43275780 [160,] -3.00429729 -1.26396183 [161,] -3.42212689 -3.00429729 > z <- as.data.frame(dum1) > z lag(myerror, k = 1) myerror 1 -2.09068389 -1.77863926 2 -0.95825899 -2.09068389 3 2.43564312 -0.95825899 4 3.25269751 2.43564312 5 -0.74622653 3.25269751 6 2.27877935 -0.74622653 7 1.48109572 2.27877935 8 0.16157517 1.48109572 9 -1.69162461 0.16157517 10 -1.05016312 -1.69162461 11 -0.02313694 -1.05016312 12 -1.89145777 -0.02313694 13 1.07367020 -1.89145777 14 -1.00740019 1.07367020 15 3.22729823 -1.00740019 16 -3.11989851 3.22729823 17 -0.76650575 -3.11989851 18 1.64040463 -0.76650575 19 2.15358894 1.64040463 20 -1.52140586 2.15358894 21 0.15878304 -1.52140586 22 -4.69010476 0.15878304 23 -0.02423819 -4.69010476 24 -0.84656008 -0.02423819 25 -0.97342257 -0.84656008 26 -0.97620329 -0.97342257 27 -1.73627448 -0.97620329 28 -2.47727907 -1.73627448 29 -1.29744401 -2.47727907 30 -0.73785703 -1.29744401 31 -2.06686996 -0.73785703 32 7.23683193 -2.06686996 33 3.08237234 7.23683193 34 -1.20561909 3.08237234 35 2.93237991 -1.20561909 36 -1.58506301 2.93237991 37 -1.46306483 -1.58506301 38 -0.14995164 -1.46306483 39 -0.66430323 -0.14995164 40 0.97194026 -0.66430323 41 -0.45504849 0.97194026 42 0.34782562 -0.45504849 43 0.56323908 0.34782562 44 0.34488978 0.56323908 45 8.89393972 0.34488978 46 -0.88175469 8.89393972 47 7.43042597 -0.88175469 48 -0.35290279 7.43042597 49 1.90363516 -0.35290279 50 1.63206586 1.90363516 51 -2.85933136 1.63206586 52 -0.52803207 -2.85933136 53 -2.64664540 -0.52803207 54 -1.39932485 -2.64664540 55 -0.66309702 -1.39932485 56 -1.78791707 -0.66309702 57 -0.21300083 -1.78791707 58 -0.94547077 -0.21300083 59 -2.60485535 -0.94547077 60 -1.30097849 -2.60485535 61 -0.68158304 -1.30097849 62 -1.45689947 -0.68158304 63 0.22754425 -1.45689947 64 10.13353749 0.22754425 65 0.57054145 10.13353749 66 -0.06273396 0.57054145 67 -1.65818361 -0.06273396 68 -2.20983730 -1.65818361 69 -1.37402241 -2.20983730 70 -1.68142994 -1.37402241 71 -1.12249966 -1.68142994 72 -0.35074721 -1.12249966 73 3.48738230 -0.35074721 74 -0.99378421 3.48738230 75 0.07258446 -0.99378421 76 -0.10009856 0.07258446 77 0.01776606 -0.10009856 78 -0.82528613 0.01776606 79 -1.78197116 -0.82528613 80 1.64198181 -1.78197116 81 -1.91837959 1.64198181 82 -1.66189888 -1.91837959 83 -1.21829820 -1.66189888 84 1.14798184 -1.21829820 85 -1.23210877 1.14798184 86 -0.04191079 -1.23210877 87 6.63127641 -0.04191079 88 1.16878652 6.63127641 89 1.96348736 1.16878652 90 -3.84044404 1.96348736 91 -0.52711679 -3.84044404 92 0.61628558 -0.52711679 93 -2.00452087 0.61628558 94 0.73437333 -2.00452087 95 1.33850704 0.73437333 96 -0.56431068 1.33850704 97 -0.78760065 -0.56431068 98 -1.69015589 -0.78760065 99 1.98902608 -1.69015589 100 -1.48072579 1.98902608 101 0.07117467 -1.48072579 102 1.42055102 0.07117467 103 -1.97653364 1.42055102 104 -1.61593923 -1.97653364 105 2.79762617 -1.61593923 106 1.40930919 2.79762617 107 -0.43399178 1.40930919 108 -1.27256407 -0.43399178 109 -1.85084167 -1.27256407 110 0.41689580 -1.85084167 111 0.32774468 0.41689580 112 -2.82204090 0.32774468 113 -0.55461019 -2.82204090 114 -1.17377551 -0.55461019 115 -1.64040077 -1.17377551 116 -0.17452322 -1.64040077 117 2.02516010 -0.17452322 118 0.27796410 2.02516010 119 0.14207112 0.27796410 120 2.09971140 0.14207112 121 1.04831294 2.09971140 122 -0.77134177 1.04831294 123 2.95122430 -0.77134177 124 2.08474183 2.95122430 125 -0.07997458 2.08474183 126 -2.34794318 -0.07997458 127 0.40064744 -2.34794318 128 -3.09987179 0.40064744 129 -1.49544376 -3.09987179 130 -0.69004030 -1.49544376 131 0.69283057 -0.69004030 132 2.65419702 0.69283057 133 -2.02371262 2.65419702 134 -0.73262655 -2.02371262 135 1.72745179 -0.73262655 136 5.79345853 1.72745179 137 0.75214332 5.79345853 138 -1.06783267 0.75214332 139 1.33507709 -1.06783267 140 -0.57063044 1.33507709 141 0.54268511 -0.57063044 142 -2.56261823 0.54268511 143 -2.39306434 -2.56261823 144 2.26684340 -2.39306434 145 -2.28018354 2.26684340 146 2.45782725 -2.28018354 147 1.67733838 2.45782725 148 -2.04130985 1.67733838 149 2.60462585 -2.04130985 150 -0.81360941 2.60462585 151 0.80140567 -0.81360941 152 -1.35623196 0.80140567 153 0.36157185 -1.35623196 154 -0.23855350 0.36157185 155 -1.55602220 -0.23855350 156 -1.34450492 -1.55602220 157 7.59819408 -1.34450492 158 0.43275780 7.59819408 159 -1.26396183 0.43275780 160 -3.00429729 -1.26396183 161 -3.42212689 -3.00429729 > plot(z,main=paste('Residual Lag plot, lowess, and regression line'), ylab='values of Residuals', xlab='lagged values of Residuals') > lines(lowess(z)) > abline(lm(z)) > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/7hcbi1353254418.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > acf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/8s2n61353254418.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > pacf(mysum$resid, lag.max=length(mysum$resid)/2, main='Residual Partial Autocorrelation Function') > grid() > dev.off() null device 1 > postscript(file="/var/wessaorg/rcomp/tmp/9w0n91353254418.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) > opar <- par(mfrow = c(2,2), oma = c(0, 0, 1.1, 0)) > plot(mylm, las = 1, sub='Residual Diagnostics') > par(opar) > dev.off() null device 1 > if (n > n25) { + postscript(file="/var/wessaorg/rcomp/tmp/10kvus1353254418.ps",horizontal=F,onefile=F,pagecentre=F,paper="special",width=8.3333333333333,height=5.5555555555556) + plot(kp3:nmkm3,gqarr[,2], main='Goldfeld-Quandt test',ylab='2-sided p-value',xlab='breakpoint') + grid() + dev.off() + } null device 1 > > #Note: the /var/wessaorg/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab > load(file="/var/wessaorg/rcomp/createtable") > > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Estimated Regression Equation', 1, TRUE) > a<-table.row.end(a) > myeq <- colnames(x)[1] > myeq <- paste(myeq, '[t] = ', sep='') > for (i in 1:k){ + if (mysum$coefficients[i,1] > 0) myeq <- paste(myeq, '+', '') + myeq <- paste(myeq, mysum$coefficients[i,1], sep=' ') + if (rownames(mysum$coefficients)[i] != '(Intercept)') { + myeq <- paste(myeq, rownames(mysum$coefficients)[i], sep='') + if (rownames(mysum$coefficients)[i] != 't') myeq <- paste(myeq, '[t]', sep='') + } + } > myeq <- paste(myeq, ' + e[t]') > a<-table.row.start(a) > a<-table.element(a, myeq) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/11nrp51353254418.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a,hyperlink('http://www.xycoon.com/ols1.htm','Multiple Linear Regression - Ordinary Least Squares',''), 6, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a,'Variable',header=TRUE) > a<-table.element(a,'Parameter',header=TRUE) > a<-table.element(a,'S.D.',header=TRUE) > a<-table.element(a,'T-STAT
H0: parameter = 0',header=TRUE) > a<-table.element(a,'2-tail p-value',header=TRUE) > a<-table.element(a,'1-tail p-value',header=TRUE) > a<-table.row.end(a) > for (i in 1:k){ + a<-table.row.start(a) + a<-table.element(a,rownames(mysum$coefficients)[i],header=TRUE) + a<-table.element(a,mysum$coefficients[i,1]) + a<-table.element(a, round(mysum$coefficients[i,2],6)) + a<-table.element(a, round(mysum$coefficients[i,3],4)) + a<-table.element(a, round(mysum$coefficients[i,4],6)) + a<-table.element(a, round(mysum$coefficients[i,4]/2,6)) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/12y7vm1353254418.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Regression Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple R',1,TRUE) > a<-table.element(a, sqrt(mysum$r.squared)) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'R-squared',1,TRUE) > a<-table.element(a, mysum$r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Adjusted R-squared',1,TRUE) > a<-table.element(a, mysum$adj.r.squared) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (value)',1,TRUE) > a<-table.element(a, mysum$fstatistic[1]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF numerator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[2]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'F-TEST (DF denominator)',1,TRUE) > a<-table.element(a, mysum$fstatistic[3]) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'p-value',1,TRUE) > a<-table.element(a, 1-pf(mysum$fstatistic[1],mysum$fstatistic[2],mysum$fstatistic[3])) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Residual Statistics', 2, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Residual Standard Deviation',1,TRUE) > a<-table.element(a, mysum$sigma) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Sum Squared Residuals',1,TRUE) > a<-table.element(a, sum(myerror*myerror)) > a<-table.row.end(a) > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/13qi571353254418.tab") > a<-table.start() > a<-table.row.start(a) > a<-table.element(a, 'Multiple Linear Regression - Actuals, Interpolation, and Residuals', 4, TRUE) > a<-table.row.end(a) > a<-table.row.start(a) > a<-table.element(a, 'Time or Index', 1, TRUE) > a<-table.element(a, 'Actuals', 1, TRUE) > a<-table.element(a, 'Interpolation
Forecast', 1, TRUE) > a<-table.element(a, 'Residuals
Prediction Error', 1, TRUE) > a<-table.row.end(a) > for (i in 1:n) { + a<-table.row.start(a) + a<-table.element(a,i, 1, TRUE) + a<-table.element(a,x[i]) + a<-table.element(a,x[i]-mysum$resid[i]) + a<-table.element(a,mysum$resid[i]) + a<-table.row.end(a) + } > a<-table.end(a) > table.save(a,file="/var/wessaorg/rcomp/tmp/14hu7s1353254418.tab") > if (n > n25) { + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'p-values',header=TRUE) + a<-table.element(a,'Alternative Hypothesis',3,header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'breakpoint index',header=TRUE) + a<-table.element(a,'greater',header=TRUE) + a<-table.element(a,'2-sided',header=TRUE) + a<-table.element(a,'less',header=TRUE) + a<-table.row.end(a) + for (mypoint in kp3:nmkm3) { + a<-table.row.start(a) + a<-table.element(a,mypoint,header=TRUE) + a<-table.element(a,gqarr[mypoint-kp3+1,1]) + a<-table.element(a,gqarr[mypoint-kp3+1,2]) + a<-table.element(a,gqarr[mypoint-kp3+1,3]) + a<-table.row.end(a) + } + a<-table.end(a) + table.save(a,file="/var/wessaorg/rcomp/tmp/156fw91353254418.tab") + a<-table.start() + a<-table.row.start(a) + a<-table.element(a,'Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity',4,TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'Description',header=TRUE) + a<-table.element(a,'# significant tests',header=TRUE) + a<-table.element(a,'% significant tests',header=TRUE) + a<-table.element(a,'OK/NOK',header=TRUE) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'1% type I error level',header=TRUE) + a<-table.element(a,numsignificant1) + a<-table.element(a,numsignificant1/numgqtests) + if (numsignificant1/numgqtests < 0.01) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'5% type I error level',header=TRUE) + a<-table.element(a,numsignificant5) + a<-table.element(a,numsignificant5/numgqtests) + if (numsignificant5/numgqtests < 0.05) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.row.start(a) + a<-table.element(a,'10% type I error level',header=TRUE) + a<-table.element(a,numsignificant10) + a<-table.element(a,numsignificant10/numgqtests) + if (numsignificant10/numgqtests < 0.1) dum <- 'OK' else dum <- 'NOK' + a<-table.element(a,dum) + a<-table.row.end(a) + a<-table.end(a) + table.save(a,file="/var/wessaorg/rcomp/tmp/167cwv1353254418.tab") + } > > try(system("convert tmp/1smt71353254418.ps tmp/1smt71353254418.png",intern=TRUE)) character(0) > try(system("convert tmp/2nr4u1353254418.ps tmp/2nr4u1353254418.png",intern=TRUE)) character(0) > try(system("convert tmp/3rrle1353254418.ps tmp/3rrle1353254418.png",intern=TRUE)) character(0) > try(system("convert tmp/4wlf41353254418.ps tmp/4wlf41353254418.png",intern=TRUE)) character(0) > try(system("convert tmp/5734k1353254418.ps tmp/5734k1353254418.png",intern=TRUE)) character(0) > try(system("convert tmp/67wvn1353254418.ps tmp/67wvn1353254418.png",intern=TRUE)) character(0) > try(system("convert tmp/7hcbi1353254418.ps tmp/7hcbi1353254418.png",intern=TRUE)) character(0) > try(system("convert tmp/8s2n61353254418.ps tmp/8s2n61353254418.png",intern=TRUE)) character(0) > try(system("convert tmp/9w0n91353254418.ps tmp/9w0n91353254418.png",intern=TRUE)) character(0) > try(system("convert tmp/10kvus1353254418.ps tmp/10kvus1353254418.png",intern=TRUE)) character(0) > > > proc.time() user system elapsed 12.986 1.780 14.879